Some air at 275 kPa absolute pressure occupies 50.0m^3. Find its absolute pressure if its volume is doubled at constant temperature.

To solve this problem, you need to use Boyle's law, which states that the product of pressure and volume is constant for a fixed amount of gas at a constant temperature.

Boyle's law equation is expressed as:

P1V1 = P2V2

Where:
P1 = Initial pressure
V1 = Initial volume
P2 = Final pressure
V2 = Final volume

In this case, we have the initial pressure (P1) as 275 kPa and the initial volume (V1) as 50.0 m^3. We can assume that the temperature is constant.

The problem states that the volume is doubled (V2 = 2V1) at constant temperature. We need to find the final absolute pressure (P2).

Substituting the given values into the equation, we have:

P1V1 = P2V2
275 kPa * 50.0 m^3 = P2 * (2 * 50.0 m^3)

Simplifying the equation:

13750 kPa * m^3 = 100 m^3 * P2

Dividing both sides by 100 m^3:

P2 = 137.5 kPa

Therefore, the final absolute pressure (P2) is 137.5 kPa.